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Finding the Fourth Proportional to 150,701.66, 207,964.92 and 82,718.16

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Solution

The fourth proportional to 150,701.66, 207,964.92 and 82,718.16 is: 114,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,701.66 : 207,964.92 = 82,718.16 : x
  2. Step 2: Convert to fraction form
    150,701.66/207,964.92 = 82,718.16/x
  3. Step 3: Cross multiply
    150,701.66x = 207,964.92 × 82,718.16
  4. Step 4: Simplify right side
    150,701.66x = 17,202,475,526.95
  5. Step 5: Solve for x
    x = 17,202,475,526.95/150,701.66
  6. Step 6: Final answer
    x = 114,149.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.